9x^2-101x+222=0

Solution for 9x^2-101x+222=0 equation:

Simplifying
9x2 + -101x + 222 = 0

Reorder the terms:
222 + -101x + 9x2 = 0

Solving
222 + -101x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -1x)(74 + -9x) = 0

Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Subproblem 2
Set the factor '(74 + -9x)' equal to zero and attempt to solve:

Simplifying
74 + -9x = 0

Solving
74 + -9x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-74' to each side of the equation.
74 + -74 + -9x = 0 + -74

Combine like terms: 74 + -74 = 0
0 + -9x = 0 + -74
-9x = 0 + -74

Combine like terms: 0 + -74 = -74
-9x = -74

Divide each side by '-9'.
x = 8.222222222

Simplifying
x = 8.222222222
Solution
x = {3, 8.222222222}